We have extended the range of neutron diffraction techniques down to p
icokelvin temperatures in our experiments on spontaneous long range nu
clear order of spin-1/2 nuclei in a single crystal of Ag-109 [1]. The
observed antiferromagnetic phase had a simple 1-k structure and no fie
ld induced phase transitions within the ordered state could be indenti
fied. Neutron transmission measurements, based on spin dependent neutr
on absorption were used to determine the nuclear susceptibility and en
tropy.